Generalizing Classical Polynomials via Moment Derivates. Victor Soto Larrosa
Автор: Ibero-American Seminar
Загружено: 2025-05-14
Просмотров: 37
[28/03/2025] Generalizing Classical Polynomials via Moment Derivates.Victor Soto Larrosa, Universidad de Alcalá, España.
Abstract: This talk aims to generalize the second-order differential equations that generate classical polynomial families such as Jacobi, Laguerre, Hermite, Bessel, and Romanovski by employing the moment derivative. The objective is to construct generalized polynomial solutions that satisfy these moment differential equations, extending the classical framework to include broader functional equations, such as fractional differential equations and q-difference equations. This approach not only recovers the classical polynomials as special cases but also reveals a natural confluence between the generalized and classical systems under certain specifications of the sequence of moments. Numerical results will be presented to illustrate this convergence, highlighting the versatility and potential applications of the moment derivative approach.
Доступные форматы для скачивания:
Скачать видео mp4
-
Информация по загрузке:
